Blowup algebras of determinantal modules
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916850449776640 |
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| author | Lin, Kuei-Nuan Shen, Yi-Huang |
| author_facet | Lin, Kuei-Nuan Shen, Yi-Huang |
| contents | We study the blowup algebras of the modules that are direct sums of ideals generated by either maximal minors of a ladder matrix or unit interval determinantal ideals. Specifically, we determine Gröbner bases for the presentation ideals of multi-Rees algebras and their special fiber rings. Our analysis reveals that the multi-blowup algebras are Koszul Cohen--Macaulay normal domains, possess rational singularities in characteristic zero, and are F-rational in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01903 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Blowup algebras of determinantal modules Lin, Kuei-Nuan Shen, Yi-Huang Commutative Algebra Primary 13C40, 13A30, 13P10, Secondary 14N07, 14M12 We study the blowup algebras of the modules that are direct sums of ideals generated by either maximal minors of a ladder matrix or unit interval determinantal ideals. Specifically, we determine Gröbner bases for the presentation ideals of multi-Rees algebras and their special fiber rings. Our analysis reveals that the multi-blowup algebras are Koszul Cohen--Macaulay normal domains, possess rational singularities in characteristic zero, and are F-rational in positive characteristic. |
| title | Blowup algebras of determinantal modules |
| topic | Commutative Algebra Primary 13C40, 13A30, 13P10, Secondary 14N07, 14M12 |
| url | https://arxiv.org/abs/2408.01903 |